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Finding the Fourth Proportional to 426.83, 640.16 and 149.22

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Solution

The fourth proportional to 426.83, 640.16 and 149.22 is: 223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.83 : 640.16 = 149.22 : x
  2. Step 2: Convert to fraction form
    426.83/640.16 = 149.22/x
  3. Step 3: Cross multiply
    426.83x = 640.16 × 149.22
  4. Step 4: Simplify right side
    426.83x = 95,524.68
  5. Step 5: Solve for x
    x = 95,524.68/426.83
  6. Step 6: Final answer
    x = 223.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.